Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays
Articles
Tingting Zhang
China Three Gorges University
Jigui Jian
China Three Gorges University
https://orcid.org/0000-0002-3320-2560
Published 2022-04-20
https://doi.org/10.15388/namc.2022.27.27326
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Keywords

quaternion-valued neural network
second-order model
exponential synchronization
mixed delay
hybrid switched control

How to Cite

Zhang, T. and Jian, J. (2022) “Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays”, Nonlinear Analysis: Modelling and Control, 27(4), pp. 700–718. doi:10.15388/namc.2022.27.27326.

Abstract

This article focuses on the global exponential synchronization (GES) for second-order state-dependent switched quaternion-valued neural networks (SOSDSQVNNs) with neutral-type and mixed delays. By proposing some new Lyapunov–Krasovskii functionals (LKFs) and adopting some inequalities, several new criteria in the shape of algebraic inequalities are proposed to ensure the GES for the concerned system by using hybrid switched controllers (HSCs). Different from the common reducing order and separation ways, this article presents some new LKFs to straightway discuss the GES of the concerned system based on non-reduction order and nonseparation strategies. Ultimately, an example is provided to validate the effectiveness of the theoretical outcomes.

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